Dubois and Prade defined an interval-valued expectation of fuzzy numbers, viewing them as consonant random sets. Carlsson and Fuller defined an interval-valued mean value of fuzzy numbers, viewing them as possibility distributions. In this paper we shall introduce the notation of weighted...

Certain aspects of input control of a Non-homogeneous Markov System (NHMS) using fuzzy set theory and fuzzy reasoning are presented in this paper. This is an effort to provide strategies that direct the changes that take place in the population structures of a Fuzzy Non-homogeneous Markov System...

For any categorical group ℍ, we introduce the categorical group (ℍ) and then the well-known group exact sequence 1 → () → → () → () → 1 is raised to a categorical group level by using a suitable notion of exactness. Breen's Schreier theory for extensions of categorical groups is...

The dynamics of phase transitions and hysteresis phenomena in materials with memory is described by a strongly nonlinear coupled system of partial differential equations which, in its generality, can be solved only numerically. Following principles of extended thermodynamics, in this paper we...

Although according to many theoretical econometricians the definition of causality proposed by Granger differs from other definitions of causation in the philosophy of science, in this paper we argue that it is not completely lacking in philosophical legitimacy. We attempt to shed new light on...

DEFINITION BANK in Fuzzy Topology is a nice collection of all existing definitions (particularly - weaker forms) w.r.t. fuzzy open sets, fuzzy closed sets, fuzzy mappings(=fuzzy functions), fuzzy separation axioms and their generalized weak forms . Also, it includes some of the newest...

We study generalized indicators of sensitivity to initial conditions and orbit complexity in topological dynamical systems. The orbit complexity is a measure of the asymptotic behavior of information that is necessary to describe the orbit of a given point. The indicator generalizes, in a...

In this paper I consider a class of a gradual adjustment rules. I discuss conditions under which such a rule can be considered as an attempt to maximize a utility function. I also demonstrate that the optimal adjustment rule does not exists, i. e. no adjustment rule allows to arrive at the...

This paper develops a theoretical framework for analyzing incentive schemes under bounded rationality. It starts from a standard principal-agent model and then superimposes an assumption of boundedly rational behavior on the part of the agent. Boundedly rational behavior is modeled as an...